I don’t know that any of the “Catholic” hospitals are still Catholic in anything other than name. They certainly are no longer administered or staffed by the religious orders that created the modern concept of hospitals (and universities) in the first place. A decade ago I was arranging surgery in a Catholic hospital and saw Chick Tracts (I think it was “Why is Mary Crying” even) on the desk where patients filled out paperwork. I took a picture and texted it to the Protestant administrator who just happened to be my cousin, she was appalled.
She understood the mission of the hospital extended well beyond medical care and a serious conflict in spiritual expression created a house divided and harmed everyone. Bizarrely the hospital didn’t even have crucifixes in patient rooms until I asked about it (they put up “resurrexifixes” so that was a bit of an own goal), and the secular hospital across town had a full time Catholic priest chaplain while the Catholic hospital did not. They didn’t even have a consultant for Catholic medical ethics. The hospital was Catholic In Name Only.
I tell my kids as they reach high school age that I’d rather hear a thousand f-bombs than one irreverent misuse of the word God. I wish this generation had some variety in its profanities and obscenities, Gen-X did. Of course we also understood boundaries, we certainly tested them but we knew they existed. That’s all gone.
We still have a small “real” Catholic hospital here. Across town is a large hospital recently purchased by a so-called Catholic health organization. It is not Catholic at all and won’t ever be.